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Visual Engineering Guide

Gear Engineering
Explained

Design, types, formulas & manufacturing basics

The visual guide starts here. Move from gear fundamentals to practical calculations and workshop considerations.

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Gear Fundamentals

What Is a Gear?

A toothed component that transmits motion and torque.

  • Change speed
  • Change torque
  • Change direction
Driver gear → Driven gear
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Why They Matter

Why Are Gears Important?

Power transmission • speed & torque conversion • direction change

PowerTransmit mechanical power
SpeedControl rotational speed
TorqueTrade speed for torque
DirectionRedirect motion

Typical journey: Motor → Gearbox → Machine

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Gear Families

6 Important Gear Types

SPURParallel shafts
HELICALSmooth transmission
BEVELIntersecting shafts
WORMHigh reduction
RACK & PINIONRotary → linear
PLANETARYCompact high torque
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Selection Guide

Choose the Right Gear

Match the gear to the job.

Spur: parallel shafts

Helical: smooth and quiet operation

Bevel: intersecting shafts

Worm: high reduction

Rack & pinion: rotary → linear

Planetary: compact high-torque transmission

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Gear Geometry

Know the Gear Parts

Understand the geometry before you calculate it.

  • Pitch circle & diameter
  • Addendum and root circles
  • Tooth face and flank
  • Face width
  • Module and pressure angle
  • Hub and bore
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Working Principle

How Do Gears Work?

Driver rotates

Teeth engage

Motion transfers

Torque is transmitted

Gear ratio controls speed

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Tooth Profile

Why Use an Involute Tooth?

The involute profile helps maintain a constant angular velocity ratio.

Law of Gearing

The common normal at the contact point passes through the pitch point.

Involute curve + pitch point + common normal
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Formula Sheet

Essential Gear Formulas

MODULEm = d / z
PITCH DIAMETERd = m × z
OUTSIDE DIAMETERda = m × (z + 2)
ROOT DIAMETERdf = m × (z − 2.5)
CENTER DISTANCEa = (d1 + d2) / 2
GEAR RATIOi = z2 / z1
Tangential force: Ft = 2T / d
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Worked Example

Gear Calculation Example

20 teeth • module 3 mm • 60 teeth • torque 50 N·m

d1 = 3 × 20 = 60 mm
d2 = 3 × 60 = 180 mm
a = (60 + 180) / 2 = 120 mm
i = 60 / 20 = 3
Ft = 2 × 50 / 0.06 ≈ 1,666.7 N
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Industrial Example

A Real Gearbox Example

15 kWPower
1,450 rpmInput speed
4 : 1Reduction
Module 4 mmGear size basis

20 teeth → 80 teeth

Pitch diameters = 80 mm and 320 mm

Input torque ≈ 98.8 N·m

Tangential force ≈ 2,470 N

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Applications

Gears Are Everywhere

Automotive • industrial machinery • robotics • appliances • medical • aerospace • renewable energy

AUTOMOTIVETransmissions
INDUSTRIALGearboxes & machinery
ROBOTICSActuators
APPLIANCESCompact drives
MEDICALPrecision mechanisms
AEROSPACEActuation & systems
Also used in renewable energy systems
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Failure Analysis

Why Do Gears Fail?

Fatigue, wear, pitting, breakage and poor conditions can damage gears.

  • Tooth bending fatigue
  • Pitting and spalling
  • Wear and scoring
  • Tooth breakage
  • Plastic deformation
  • Misalignment
  • Lubrication failure
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Maintenance + Safety

Keep Gears Running Safely

Maintain: lubricate correctly, inspect teeth, check backlash and alignment, monitor vibration/noise, keep gears clean, replace worn gears.

Work safely: use guards, follow lockout/tagout, wear appropriate PPE and handle heavy gear assemblies correctly.

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Standards + Workshop Practice

Design With Engineering Standards

References: AGMA, ISO 6336, DIN 3990, Machinery’s Handbook, Shigley’s Mechanical Engineering Design.

Workshop: correct cutter • correct setup • accurate measurement • proper inspection • good records.

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Next Step

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